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Undirected graphs rearrangeable by 2‐length walks

Journal Article

Abstract

In this paper, we deal with 2‐rearrangeable graphs, that is, graphs in which every permutation can be routed in two steps, such that each packet moves on a walk of length 2 without vertex‐contention. We give necessary and sufficient conditions for a graph to be 2‐rearrangeable. We end by proposing a construction of k‐rearrangeable graphs, where k ≥ 2. © 1998 John Wiley & Sons, Inc. Networks 31: 239–247, 1998

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